With Category Theory, Mathematics Escapes From Equality
Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.
Big Question About Primes Proved in Small Number Systems
The twin primes conjecture is one of the most important and difficult questions in mathematics. Two mathematicians have solved a parallel version of the problem for small number systems.
Computers and Humans ‘See’ Differently. Does It Matter?
In some ways, machine vision is superior to human vision. In other ways, it may never catch up.
A Mathematical Model Unlocks the Secrets of Vision
Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.
New Proof Settles How to Approximate Numbers Like Pi
The ancient Greeks wondered when “irrational” numbers can be approximated by fractions. By proving the longstanding Duffin-Schaeffer conjecture, two mathematicians have provided a complete answer.
Quantum Supremacy Is Coming: Here’s What You Should Know
Researchers are getting close to building a quantum computer that can perform tasks a classical computer can’t. Here’s what the milestone will mean.
How Randomness Can Make Math Easier
Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite.
Random Surfaces Hide an Intricate Order
Mathematicians have proved that a random process applied to a random surface will yield consistent patterns.
A New Law to Describe Quantum Computing’s Rise?
Neven’s law states that quantum computers are improving at a “doubly exponential” rate. If it holds, quantum supremacy is around the corner.